Solve this step by step 8m-5-m+10

The volume of the Atlantic Ocean is about 3.1⋅10173.1 \cdot 10^{17}3.1⋅10173, point, 1, dot, 10, start superscript, 17, end supe

Serga [27]

Answer: The annual flow of the Mississippi river would fit in the Atlantic ocean $4.92\times10^5$ times.

Step-by-step explanation:

Given: Volume of Atlantic Ocean= $3.1\times10^{17}$ cubic meters

Annual flow of Mississippi river = $6.3\times10^{11}$ cubic meters.

then, the number of times the annual flow of the Mississippi river would fit in the Atlantic ocean = $\dfrac{\text{ Volume of Atlantic Ocean}}{\text{Annual flow of Mississippi river}}$

$=\dfrac{3.1\times10^{17}}{6.3\times10^{11}}\ \ \=0.492063492063\times10^{17-11}\ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=0.492063492063\times10^6\approx4.92\times10^5$

Hence, the annual flow of the Mississippi river would fit in the Atlantic ocean $4.92\times10^5$ times.

3 0

4 years ago

Plutonium-240 decays according to the function where Q represents the quantity remaining after t years and k is the decay consta

Naddika [18.5K]

It will take <span>1,657.4 years.</span>

7 0

4 years ago

Read 2 more answers

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It

Zanzabum

Answer: We reject H₀ we find that the machine is underflling the bottles

P ( 421 ± 4,3376 )

Step-by-step explanation:

We assume a normal distribution

Population mean 430 grs

Unknown standard deviation

We have a one tail condition "underfilling"

And our test is:

Null hypothesis H₀ X = μ₀

Alternative hypothesis Hₐ X < μ₀

We must use t student distribution and find the interval

X ± t*(s/√n)

In that expession X is the sample mean 421 grs, "s" is sample standard deviation, n is sample size, then

421 ± t * ( 15 / √21 ) (1)

We go to t table and look for t value for α = 0,1 and df = 21 - 1 df = 20

we get t (remember it is a one tail test) t = 1,325, plugging this value in equation (1) we get the interval

421 ± 1,325 * ( 15/√21 ) ⇒ 421 ± 1,325 * ( 3,2737)

421 ± 4,3376

421 + 4,3376 = 425,34

421 - 4,3376 = 416,66

As we can see the mean value of the population 430 grs is not inside the interval [ 416,66 ; 425,34 ] then we can assure the machine is underfilling the bags, and not meeting the setting spec

6 0

3 years ago

What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.

Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?